{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (C)\n",
    "2016 - 2019 Pinard Liu(liujianping-ok@163.com)\n",
    "\n",
    "https://www.cnblogs.com/pinard\n",
    "\n",
    "Permission given to modify the code as long as you keep this declaration at the top\n",
    "\n",
    "scikit-learn Adaboost类库使用小结 https://www.cnblogs.com/pinard/p/6136914.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from sklearn.ensemble import AdaBoostClassifier\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.datasets import make_gaussian_quantiles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 生成2维正态分布，生成的数据按分位数分为两类，500个样本,2个样本特征，协方差系数为2\n",
    "X1, y1 = make_gaussian_quantiles(cov=2.0,n_samples=500, n_features=2,n_classes=2, random_state=1)\n",
    "# 生成2维正态分布，生成的数据按分位数分为两类，400个样本,2个样本特征均值都为3，协方差系数为2\n",
    "X2, y2 = make_gaussian_quantiles(mean=(3, 3), cov=1.5,n_samples=400, n_features=2, n_classes=2, random_state=1)\n",
    "#讲两组数据合成一组数据\n",
    "X = np.concatenate((X1, X2))\n",
    "y = np.concatenate((y1, - y2 + 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1239e5d0>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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X1KRqVcHheAfDmIXF8jXXXfe/U9qanJxMMGjlRE08G1arq1iGhxZXtIBrNCazZr3DwIFd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\nypQpkpmZKVOmTJFybrcMMX9RVXe5pGO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ike2sWrWFCROm0qpVexYvWMCQWIzfAs0tC2Ix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\ntkT8Ee3amlUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1289ac90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], marker='o', c=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AdaBoostClassifier(algorithm='SAMME',\n",
       "          base_estimator=DecisionTreeClassifier(class_weight=None, criterion='gini', max_depth=2,\n",
       "            max_features=None, max_leaf_nodes=None,\n",
       "            min_impurity_split=1e-07, min_samples_leaf=5,\n",
       "            min_samples_split=20, min_weight_fraction_leaf=0.0,\n",
       "            presort=False, random_state=None, splitter='best'),\n",
       "          learning_rate=0.8, n_estimators=200, random_state=None)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bdt = AdaBoostClassifier(DecisionTreeClassifier(max_depth=2, min_samples_split=20, min_samples_leaf=5),\n",
    "                         algorithm=\"SAMME\",\n",
    "                         n_estimators=200, learning_rate=0.8)\n",
    "bdt.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kGKpDHBmvMpRhk4nkmerqmSTN/mral8O2wEklDmmK1BooHiLBmqqUr0YedSs0q/BD5A1n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\naYZA3AEBAQFphkDcAQEBAWmG/we4F9g4gQTF3AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1523e630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
    "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "Z = bdt.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "cs = plt.contourf(xx, yy, Z)\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='o', c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Score: 0.913333333333\n"
     ]
    }
   ],
   "source": [
    "print \"Score:\", bdt.score(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Score: 0.962222222222\n"
     ]
    }
   ],
   "source": [
    "bdt = AdaBoostClassifier(DecisionTreeClassifier(max_depth=2, min_samples_split=20, min_samples_leaf=5),\n",
    "                         algorithm=\"SAMME\",\n",
    "                         n_estimators=300, learning_rate=0.8)\n",
    "bdt.fit(X, y)\n",
    "print \"Score:\", bdt.score(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Score: 0.894444444444\n"
     ]
    }
   ],
   "source": [
    "bdt = AdaBoostClassifier(DecisionTreeClassifier(max_depth=2, min_samples_split=20, min_samples_leaf=5),\n",
    "                         algorithm=\"SAMME\",\n",
    "                         n_estimators=300, learning_rate=0.5)\n",
    "bdt.fit(X, y)\n",
    "print \"Score:\", bdt.score(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Score: 0.961111111111\n"
     ]
    }
   ],
   "source": [
    "bdt = AdaBoostClassifier(DecisionTreeClassifier(max_depth=2, min_samples_split=20, min_samples_leaf=5),\n",
    "                         algorithm=\"SAMME\",\n",
    "                         n_estimators=600, learning_rate=0.7)\n",
    "bdt.fit(X, y)\n",
    "print \"Score:\", bdt.score(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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